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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

A geometric proof of the existence of the Green bundles

Author(s): Renato Iturriaga
Journal: Proc. Amer. Math. Soc. 130 (2002), 2311-2312.
MSC (2000): Primary 37D40
Posted: March 13, 2002
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Abstract | References | Similar articles | Additional information

Abstract: We give a new proof of the existence of the Green bundles.


References:

1.
M. L. Bialy, Rigidity for periodic magnetic fields, Ergodic Th. and Dynam. Sys. 20 (2000), 1619-1626. CMP 2001:06

2.
D. Burago, S. Ivanov, Riemannian Tori without conjugate points are flat, GAFA (1994), 259-269. MR 95h:53049

3.
G. Contreras, R. Iturriaga, Convex Hamiltonians without conjugate points, Ergod. Th. and Dynam. Sys. 19 (1999), 901-952. MR 2000h:37102

4.
P. Eberlain, When is a geodesic flow af Anosov type? I, J. Differential Geometry 8 (1973), 437-463. MR 52:1788

5.
E. Hopf, Closed surfaces without conjugate points, Proc. Natl. Acad. Sci 34 (1948), 47-51. MR 9:378d

6.
P. Foulon, Estimation de l'entropie des systemes lagrangiens sans points conjugués, Ann. Inst. Henri Poincare 57 (1992), 117-146. MR 93k:58178

7.
A. Freire, R. Mañé, On the entropy of the geodesic flow of manifolds without conjugate points, Inv. Math. 69 (1982), 375-392. MR 84d:58063

8.
L.W. Green, A theorem of E. Hopf, Michigan Math. J. 5 (1958), 31-34. MR 20:4300

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Additional Information:

Renato Iturriaga
Affiliation: CIMAT, A.P. 402, 36000 Guanajuato, Gto, México -- and -- I. Newton Institute, Cambridge University
Email: renato@fractal.cimat.mx

DOI: 10.1090/S0002-9939-02-06540-1
PII: S 0002-9939(02)06540-1
Received by editor(s): February 8, 2001
Posted: March 13, 2002
Additional Notes: The author was partially supported by CONACYT-México grant \#28489-E and EPSRC-United Kingdom GR/M5610
Communicated by: Michael Handel
Copyright of article: Copyright 2002, American Mathematical Society


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